Experimental Results and Discussion Sample Clauses

Experimental Results and Discussion. Figure 2.3 shows photodetachment spectra for BeO-, obtained by analyses of velocity map images. All of the stronger features in the images yielded near isotropic electron angular distributions. The horizontal scale for these spectra, labeled as transition energy, is the photon energy minus the electron kinetic energy. The traces correspond to images recorded using photon energies of 18110.48, 17733.93, 16744.75 cm-1, and 16359.34 cm-1, respectively. Note that the intensities of the four spectra were scaled for presentation purposes. Comparisons of intensities for spectra recorded using different detachment energies are not meaningful. However, the relative intensities of features within a single spectrum are valid. Traces A and C combined show three groups of features. The analysis of trace A, which was recorded with the highest energy photons, is the most straightforward. Based on the molecular constants given in Table 2.1, the features in the 17400 – 18000 cm-1 range are consistent with the υ = 0; 0 – 0, 1 – 1, 2 – 2, 3 – 3 sequence bands. Similarly, the bands in the 16000-16700 cm-1 range (trace C) are the v = -1; 0 – 1, 1 – 2, 2 – 3, 3 – 4 transitions, while the bands in the 14600 – 15700 cm-1 range are the Δv = -2; 0 – 2, 1 – 3, …6 – 8 transitions. Clearly there was appreciable population of the excited vibrational states of the anion. Note that the v = -2 features of traces C and D show more extended vibrational sequence structure than the v = -1 and 0 features. Xxxxxx-Xxxxxx factor (FCF) calculations, based on the theoretical potential energy curves, account for this behavior. C D A B Photoelectron Counts (a.u.) 14500 15000 15500 16000 16500 17200 17350 17500 17650 17800 17950 18100 Figure 2.3. Photodetachment spectra of BeO- at photon energies (A, black) 18110.5 cm-1, (B, blue) 17733.9 cm-1, (C, red) 16744.8 cm-1, and (D, green) 16359.3 cm-1. The transition energy is defined as hν – eKE. The 0-0 band is predicted to have the highest FCF for the v = 0 group, while the FCF maximum for the v = -2 was for the 3-5 band. Another interesting detail of the v = -2 bands was the marked difference in the contours of traces C and D at energies near 15125 cm-1. The reason for this anomaly will be considered following the analysis that yields the EA of BeO. The intensity contours of the photodetachment bands were found to be significantly dependent on the excess energy imparted to the electron (with some random fluctuations caused by day-to-day variations...
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Experimental Results and Discussion. The results of the validation tests are shown in the following tables. Testing of the food industry (soy water and caustic soda) effluent and electronics/semiconductor fluid was not performed on the Ovation distiller due to fouling issues identified in the preliminary table-top distiller tests. No testing of the photochemistry fluid was performed due to hazardous emissions issues identified with this liquid. Also a representative paint effluent has not been identified, and as such, no testing was performed.

Related to Experimental Results and Discussion

  • Results and Discussion Table 1 (top) shows the root mean square error (RMSE) between the three tests for different numbers of topics. These results show that all three tests largely agree with each other but as the sample size (number of topics) decreases, the agreement decreases. In line with the results found for 50 topics, the randomization and bootstrap tests agree more with the t-test than with each other. We looked at pairwise scatterplots of the three tests at the different topic sizes. While there is some disagreement among the tests at large p-values, i.e. those greater than 0.5, none of the tests would predict such a run pair to have a significant difference. More interesting to us is the behavior of the tests for run pairs with lower p-values. Table 1 (bottom) shows the RMSE among the three tests for run pairs that all three tests agreed had a p-value greater than 0.0001 and less than 0.5. In contrast to all pairs with p-values 0.0001 (Table 1 top), these run pairs are of more importance to the IR researcher since they are the runs that require a statistical test to judge the significance of the per- formance difference. For these run pairs, the randomization and t tests are much more in agreement with each other than the bootstrap is with either of the other two tests. Looking at scatterplots, we found that the bootstrap tracks the t-test very well but shows a systematic bias to produce p-values smaller than the t-test. As the number of topics de- creases, this bias becomes more pronounced. Figure 1 shows a pairwise scatterplot of the three tests when the number of topics is 10. The randomization test also tends to produce smaller p-values than the t-test for run pairs where the t- test estimated a p-value smaller than 0.1, but at the same time, produces some p-values greater than the t-test’s. As Figure 1 shows, the bootstrap consistently gives smaller p- values than the t-test for these smaller p-values. While the bootstrap and the randomization test disagree with each other more than with the t-test, Figure 1 shows that for a low number of topics, the randomization test shows less noise in its agreement with the bootstrap com- pared to the t-test for small p-values.

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